#### if    are in A.P Thenwhich of the following in A.P Option 1) Option 2) Option 3) Option 4) Non of these

As learnt in concept

Properties of an A.P. -

If a fixed number is added to (Subtracted from) each term of a given A.P, then the resulting sequence is also an AP.

- wherein

If is an AP

then

is also an AP

Properties of an A.P. -

If each term of an AP is multiplied by a fixed constant (or divided by a constant),then resultant is also an AP.

- wherein

If

Then

and

are in AP

Add 2 to all the terms.

are in AP

Divide by (a+b+c), we get

are in AP

Option 1)

This solution is incorrect

Option 2)

This solution is incorrect

Option 3)

This solution is correct

Option 4)

Non of these

This solution is incorrect